Vol 1 Chapter 14 (1/2)

After school, Homura visited the Exploration Club building.

This was her third time entering the club building.

She had promised to learn magic from Professor Fujimori today.

After taking a quick peek into the dimly-lit transport room where the Transport Ring was preciously stored, she climbed the stairs and headed to the stand-by room, where she found a high school girl sitting slovenly on a chair and completely absorbed in playing a handheld game console.

She finally came!

Homura took a circuitous route to stand in front of the girl, who had yet to notice the visitor.

There was no mistake. Homura remembered this exotic-looking face.

“…Ame-chan? Ameno-san?”

“Hah!?”

The girl jumped with a start and looked up to face Homura.

“Who are you!? A burglar!?”

“Wait, wait, aren’t you the one who said ‘Come in’ and let me into the building through the entrance monitor, Ame-chan?”

The girl made an expression of realization.

“Haah, I did that completely unconsciously in the background of my mind.”

“So careless.”

Homura brought over a chair, and the two of them sat side-by-side at a corner of the table.

“Nice to meet you. I’m Hinooka Homura, a new member of the Exploration Club.”

“I’m Fujimori Ameno. I know all about you, Homura. It somehow feels like I’ve known you since before I was born.”

“I-I’m honored, I guess.”

Ameno grasped Homura’s hands with her own.

She had a strong grip that didn’t match her appearance.

“I use the rooms in the club building like this, but I still haven’t been recognized as a formal club member, ya know.”

“So you’re a tomboy1, huh?”

“—Hah?”

“No, no, anyway, I’m happy to meet you.”

“Yes, I’ve wanted to meet you too for a long time, Homura-san.”

“Yeah, yeah! Ame-chan, you’re a first-year, right? We’re in the same grade, right? Misasagi-senpai is kind and wonderful, of course, but it still makes a big difference having a fellow club member of the same age.”

“What about Tak.u.mi-san?”

“By Tak.u.mi, you mean Touya-kun? That mountain monkey doesn’t count. He’s a boy, after all.”

“But Tak.u.mi-san is a splendid male member who shoulders the future of the Exploration Club, you know?”

“Eeh?”

Ameno wore a carefree smile, seeming like a charming young girl in Homura’s eyes. Her p.r.o.nunciation had no accent, and her nationality was hard to pin down. She seemed like she might be Scandinavian, but she also had a Middle Eastern air to her. She seemed to be listed as j.a.panese on her family register, though.

“Hey, Ame-chan, I haven’t seen you around school before. Aren’t you a transfer student? Though, admittedly, I didn’t get to see you when you appeared during the s.h.i.+nryoku Festival because I was busy at the time.”

“The reason for that is terrible, let me tell you! Apparently, there’s a dispute among the school higher-ups over me, and my transfer procedure might not even get approved!”

“What’s with that? Is your guardian Fujimori-sensei clas.h.i.+ng with the school administration?”

Ameno puffed up her cheeks indignantly.

“Chiayu-san doesn’t seem to care as long as the Exploration club members increase. The ones that are quarreling are my home2and the school.”

“Ah, I get what you mean, I really do. She really is irresponsible like that, that teacher.”

Homura strongly nodded while putting the a.s.sortment of pastries she had brought down on the table.

Homura had stayed out of clubs until now, but the one thing she had always idolized about them was the meeting place-type atmosphere in rooms like this.

Ameno looked Homura over with great interest.

“…Ah, that’s right! Chiayu-san ordered me to take care of your magic training today, Homura-san!”

“Huh, sensei’s not coming herself? Did she get delayed somewhere?”

“Chiayu-san apparently had a sudden and urgent appointment with some old comrades of hers, and she went out after making a reservation at a bar in Honmachi.”

“W-What!? That’s just going out for drinks! She really is irresponsible. Tomorrow, I’m going to severely—”

“Don’t worry, Homura-san. Teaching is my specialty. I’m better at it than Chiayu. I can’t use magic myself, though.”

“Ah, really? Well, Mori-chan doesn’t seem suited towards magic either, I guess—More importantly, will you listen to this, Ame-chan?”

As Ameno was making preparations for the magic training session, she was forcefully pulled back by Homura.

Homura took out a set of lemon tea and Happy Turn3 rice crackers, and handed a portion of them over to Ameno while munching on the crackers.

“Ah, thanks.”

“Yesterday, do you know what Mori-chan said to me at the beginning of the day?”

“?”

Ameno tilted her head curiously while holding both ends of a cracker.

“The first thing she said was, ‘Hinooka, are you a virgin?’”

“Hahah. That frankness is just like Chiayu-san.”

“She also said that that mountain monkey is also technically a boy, so he might make a mistake during an expedition, and even without that, Nutella’s environment makes it easy to get excited.”

“I see.”

“And then she said that, in case such an event ever comes to pa.s.s, it would be better to take countermeasures rather than pointlessly resist, and that she’d even prepare contraceptive tools for me! Can you believe that? There are Nutella-use contraceptive tools with the UNPIEP logo on them!”

“That’s rea.s.suring. Crude fakes have apparently been circulating lately.”

“That’s the point you remark on!? It’s not rea.s.suring at all! That’s not just a late response; they’re completely dodging the issue with that kind of solution! They’re not considering it seriously at all! The directors and government officials are turning a blind eye to the whole thing!”

“So, are you a virgin?”

The cracker went flying from Ameno’s hands with a smack and fell on the table.

“……”

Homura lay her head down on the table and fell silent.

As the silence continued for a long while, Ameno took off a cracker’s plastic wrapping and started skillfully folding it into origami.

“Homura-san, I heard you’ve had a lot of experience with boys. How nice~. I’m so envious.”

“Where’d you hear that from…”

“Ehehe,” Ameno laughed embarra.s.sedly.

“Even if you say I have a lot of experience… I haven’t had anyone in mind recently… And I haven’t had the time for dating either…”

“Our activities outside of Nutella receive public attention, and information always leaks out no matter what we do. Intercourse alone is still treated at the level of something cute, but pregnancy on Nutella, let alone with underage teenagers, is a matter that major blogs and the Exploration Club Watchers won’t leave be. There’s a limit to what information control can do, after all. It would surely affect the club’s continued existence. Isn’t that a serious matter?”

A tiny frog made out of wrapping hopped along Ameno’s fingers.

Homura grumbled while poking at the cracker that had been left bare on the table.

“I’m more worried about Misasagi-senpai… Even if she’s physically much stronger than Touya-kun, what if she gets pulled along by the mood? And there’s the possibility of a crime being committed while she’s drunk…”

“Would that bother you, Homura-san?”

“…Not… really, but…”

With the Happy Powder having been shaken off the cracker, it was now just a plain old Turn cracker.

Suddenly, Ameno raised her head and stared into empty air.

“Hmm?”

“—Ah, speak of the devil. Too bad, I missed the chance to hear more.”

“What?”

“‘Yes, come on in. We were waiting for you.’”

Soon after, Touya poked his head into the standby room.

Homura glared reproachfully at Touya while remaining sitting.

“Yo, Hinooka. Ameno, long time no see.”

“Yes.”

“…Touya-kun, you interrupted our rare and precious girls’ talk time.”

“You said you were going to do magic training, so I came to learn by observation, as someone who’s bad at magic myself. So, what were you chatting about? Where’s Fujimori-sensei?”

“I’m subst.i.tuting for her.”

“Seriously?”

“Seriously. We’re going to properly start soon, okay? I still want to talk more with Homura-san.”

“You can just call me Homura, you know?”

“No, I couldn’t. Even if we’re in the same grade, I’m much younger than everyone else.”

“You don’t look like it, though… How old are you? Did you skip grades?”

“Chiayu-san discovered4 me about ten years ago. I established self-consciousness in this body and started proper operation three years ago.”

“Hah? Eh? Three years ago? …Three years old!? You’re an infant?”

“And, incidentally, I’m also a virgin.”

Yeah, that makes sense, right?5

Ameno turned towards Touya and made a finger-snapping pose.

“Ah?”

“Yes, yes, it’s time to start studying magic!”

Homura brushed aside the puzzled Touya and took out a third seat for him.

Ameno held out a headset that was one size bigger than standard headphones.

“So heavy…”

Homura adjusted it on her head while fretting over how the cord connected to its exclusive power source got tangled with her hair.

“This is a brain waves scanner. Even this thing was made quite light weight in comparison to others, you know? You don’t even need to take a contrast media shot beforehand.”

“It’s different from the testing machine that Kinou-sensei used on me before,” Homura remarked.

“Yeah, the simple IE apt.i.tude test-use scanner is distributed throughout middle and high schools all over the country, but this is a special piece of equipment that’s never moved outside official Exploration Club premises. It’s filled with the latest technology and all kinds of licenses, after all. The simple scanner is also more accurate than it used to be, though.”

“Hinooka, you did the IE apt.i.tude test?”

“Yeah, I did.”

Homura wore a dejected expression.

“What’s wrong?”

“I got a shocking result from it… [52:D]…”

“Hey, that’s not much different from me. You got [80:B] in middle school, right? What, did you lose calories or something?”

Homura didn’t laugh at Touya’s joke.

“[B] means you have an apt.i.tude for magic. [C] stands for outdoor activities or experience with martial arts—right?”

“Basically, yeah. [A] stands for both categories. D means that you only have an IE reaction.”

“In other words, I’m just a regular person? My peak has already pa.s.sed? My bubble popped before I realized it?”

Homura sank down onto the table dejectedly even further.

“Statistically, the peak of one’s apt.i.tude value is at around twenty years old. Even though they won’t let you join the Exploration Club if you’re too young either in this country, humph.”

From the way she acted miffed, Ameno also appeared to be dissatisfied with the apt.i.tude value evaluation.

“Well, cheer up. It’s just a test. It’s pointless if you worry over it so much that it affects your training efforts and how you perform when you’re faced with a crucial moment in the field.”

Touya pulled up and supported Homura’s headset as she raised her head despondently.

“…Sorry. You’re right. Then, Ameno-sensei, please go ahead.”

“Sensei?”

Seeming happy at the word ‘sensei’, Ameno crisply straightened her posture.

“Then, please take this.”

“A handheld game console? I’m supposed to play with this?”

“You don’t need to manipulate it manually. It can wirelessly connect with your headset.”

When Homura touched the game console, a very stereotypical battle BGM flowed out from it.

“Ah, sorry. I left it in the middle of my play~”

Ameno pressed a hand to her temple with a hum, and then the still active play in the game was saved and the power reset.

“Huh? Did you just use magic?”

“This is Earth, you know.”

The UNPIEP logo appeared on the screen, and the already downloaded training-use software started up.

“First, we’ll start from the [concept of magic]… Hmm~~, hah!”

Ameno suddenly clenched her empty hands, and when she reopened them, she held a small disk in each hand. Their front surface was black and their back was white. In other words, they were…

“Oth.e.l.lo pieces?”

“Yes.”

Homura and Touya picked up the pieces that were offered to each of them. They were called Oth.e.l.lo stones.

“How many moves are possible to take that piece6? In terms of game rules, that is.”

“You mean standing it upright like this or turning it over doesn’t count, right?”

Ameno nodded.

Touya stared intently at Homura. Though a bit unsure, Homura answered.

“Two moves, right…? One each for white and black.”

“Correct. Now then, please focus on how to turn that piece over next. How many moves are possible to turn over this round piece?”

“Again, two moves. From white to black, and from black to white.”

“That’s correct, but also incorrect.”

“Huh?”

“This Oth.e.l.lo piece has no front or back. You can turn it over like this…”

Ameno flipped over the piece on Homura’s palm with her fingers.

“…Simply flipping it over like this is one move. With just this, it goes from white to black, or black to white.”

“That’s obvious, isn’t it? Then the correct answer is one move, not two?”

“There’s one more,” Touya said.

“One more? What is it?”

“Don’t do anything. From white to white. From black to black.”

“As if you can do that!”

“You actually can. Just leaving things as they are is also one possible choice. With this, you have two moves.”

After confirming Homura’s astonished nod, Ameno continued.

“Then, next… Hmm~~, hah!”

Next, playing cards appeared in Ameno’s hands.

They were both face cards. The Jack of Spades and the Queen of Diamonds.

“Just as you can see, these are playing cards. And even if you turn them upside down like this… the design remains identical. The same goes for the back side.”

After saying that, Ameno handed a card to Homura and Touya each.

“Yeah, now that you mention it, that’s pretty convenient… So this time we’re focusing on how to flip over these cards?”

“That’s right. Now then, how many moves can you do?”

After turning over and examining her card for a while, Homura raised her hand.

“Yes, sensei! I know!”

“Go ahead, Homura-san.”

“It’s four moves. You can turn it upside down. You can flip it over vertically. You can flip it over sideways. And you can do nothing!”

“What do you think, Tak.u.mi-san?”

“Hmm… can’t you also turn it over diagonally, though?”

“Fufu, that’s wrong, Touya-kun. If you try to turn it over diagonally, the card will always end up becoming sideways, right? That’s part of the pattern of turning it upside down. So it’s a combination of the two.”

“Homura-san is correct. There are four possible moves for turning over a card. Tak.u.mi-san, you already knew this and just played along, right?”

“No, I’m still unsure of the logic myself… Well, I get that there are four moves. Let’s move on.”

“Then, I’ll move on to the next step—Homura used the word pattern, but this word is actually very important. There’s another hidden pattern to turning over this card.”

“…Hmm? By pattern, you mean a combination of moves?”

After staring at her card for a while, Homura slapped the table in realization.

“You’re talking about turning it over each way in sequence?”

“Yes, that’s correct. Homura-san, you’ve got some good momentum going today. Then, in order to make it easy to understand…”

Ameno took out another card for her own use.

While taking turns flipping it over up, down, sideways and upside down, she wrote a series of numbers on the upper right portion of the card.

“I’ve written 0, 1, 2 and 3 on it. These represent the four moves. Any sequence used to turn it over such as [0123] or [0312] can be used no matter what state it’s in at the time.”

“Hmm, I see. Now that you point it out, you’re right. Then, this time I’m supposed to write down the different sequences for turning it over, those pattern numbers, right?”

“Yes. However, [0123] and [1230] is basically the same in terms of the sequence in which it’s rotated, right? So consider them the same pattern.”

“Yeah, yeah. This will be easy.”

“Really?”

However, it wasn’t actually that easy, and Homura had to get help from Touya in order to come up with every possible pattern.

“All right, I’m going announce my results, okay? Then, with 0 at the start, there are six patterns including [01230], [01320], [02130], [02310], [03120] and [03210]!”

“Well done! Then… how about this?”

Ameno next held out a slightly big die.

“So it’s a die next.”

The die was slightly abnormal, with numbers written on the top right on each of the six faces.

“Hmm~, from 0… to 23? Every face has four numbers on it, with a total of twenty-four numbers? Could this be…?”

“How many patterns of turning it over are hidden in that die?”

“I don’t know!”

“An instant response, huh…”

“I know, though?”

Homura was startled and peeked at Touya’s face beside her.

She was grimacing due to the strain of the headset’s weight on her neck. In the basic puzzle exercises until now, the headset hadn’t served any use, but Homura-san no longer worried over it and seemed to have forgotten about it, so it’s fine.

“Eh? Why? There’s no way you could know. Don’t lie.”

“I’m not lying. You just need to calculate. The last exercise with the cards had six patterns with 3x2x1, after all.”

As Homura looked at him dubiously, Touya explained.

“There are four numbers at first, right? That means, no matter what number you choose next, there will be three numbers remaining. Then two. And finally one.”

“Then, this strange die is the same…?”

Ameno smiled happily.

“I did this lesson on the premise that you both would give up at this point, but… Tak.u.mi seems to be a step better at this.”

“23 times 22, times 21, times…”

Homura faced her notes and went through the endless multiplication, but once it was obvious that she was starting to make mistakes midway when the number of digits increased, Ameno told her the answer.

“The answer is 25 800 quintillion, 52 010 quadrillion, and so forth… basically, it becomes a huge number with twenty-three digits. It’s done with factorial calculation.”

“Right, right. That, factoring. Say that beforehand.”

Ameno smiled wryly.

Strictly speaking, that turns into an even more complicated calculation, but that’s another matter.

“Sorry. Then, stopping the preliminary preparation here—”

Its existence having been forgotten, the game console’s screen, which had gone into sleep mode, brightened up again.

On the screen appeared a three-dimensional die.

“This is the hexa-model of magic that we use in the Exploration Club.”

“Ah… this is…”

It was a die painted in four colors.

Just like the image that had appeared in her mind back then, there were two faces each painted white and blue respectively, and one face each painted red and black respectively.

“Homura-san, you’ve already experienced ignition magic once, right? I read about it in President Misasagi’s journal log.”

“She failed at it, though.”

“Touya-kun, you couldn’t even use the most basic illumination magic either yourself… Wait, uwawah, the die is moving!? Gross!”

“In the series of tutorials until now, the device has been tuning itself to match your brain waves, Homura-san.”

“This seems fun! I don’t get the reason at all, but it’s fun!”

When she thought of the die vigorously turning over vertically, it did exactly that, then she stopped it and made it roll over sideways—

Without her once touching the console’s b.u.t.tons, Homura made the displayed die roll around exactly as she thought.

“Ooh, I see… I can simulate magic with this. I just followed senpai’s instructions back then.”

“Right.”

“No matter how many times I see it, it’s so strange.”

Ameno smiled happily as if it were her own achievement.

“The Exploration Club invested in making this high-precision brain waves scanner, and it is now finally possible to train in magic on Earth as a result. It’s also useful for developing new magic.”

“I see.”

“There are roughly 120 quadrillion manipulation patterns with this restricted hexa-model. Names are attached to specific patterns.”

“I know, like Hi (Hydrogen) and Ox (Oxygen), right? Senpai taught those to me. I see~, so that’s how it works. Touya-kun also trained wearing this scanner at first, right?”

“With a tetra-model, yeah.”

Ameno winked, and then a regular tetrahedron made of four equilateral triangles attached together appeared next to the die. It was also painted in four colors.

Now that there were two dice displayed on the screen, their movements become wobbly and hard to control for Homura.

However, she immediately got the hang of it and started to separately move the hexa- and tetra-models.

Touya’s eyes widened in amazement. Ameno also tilted her head curiously.

“You’re good at this.”

“You wouldn’t think you were ranked D.”

“…Eh? This is pretty difficult, you know? It’s easy to get them jumbled up.”

“Then, what if I do this?”

The dice multiplied to four.

“Muh, like I’ll lose to that~.”

As Homura absorbed herself in it as if she had been given a new toy, Touya watched her with hope and expectation in his eyes.

“—Hey, can we take a break? This is a good place to stop, right?”

“Ah, you’re right.”

With a sigh of relief, Homura took off the heavy headset.

Next to her, Ameno leaned back in her chair even more tiredly than Homura.

“Huh, are you okay, Ame-chan?”

“Truthfully, this is the first time I’ve been so nervous…”

“Ahaha, thanks for the lesson. And, no offense to your hard work here, Ame-chan, but if the school’s math cla.s.ses were like this, they’d be so much easier!”

“This is also a proper field in mathematics, you know?”

“Really?”

“Yes! In the first place, Nutella is a mathematical existence. A great number of Indian scientists who discovered renormalization cosmology—”

Ah, I don’t wanna hear, I don’t wanna hear, Homura thought as she blocked her ears and ran away from the whole thing.

“By the way, where’s senpai?”

“Senpai is a regular club president with the accompanying duties, you know. And even without that, she’s quite busy at home as well.”

“I see, she really works hard, huh. By busy at home, do you mean with studying? Helping around the house?”

“Apparently, it has something to do with socializing with people, because of her father’s work. It’s something I don’t know much about, though.”

“Incidentally, President Misasagi usually uses this restricted icosa-model.”

Ameno pointed at the new die that appeared on the console screen, a twenty-sided polyhedron made of twenty equilateral triangles. As expected, it was painted with several different colors, but it looked much more complex compared to the dice that Homura had used until now.

“An icosahedron… for real…?”

“This model specializes in manipulating fluids, you know?”